Develop a well$-$documented and structured MatLab code which allows solving for the roots of non$-$linear

equations using both Secant Method and Newton$-$Raphson algorithm. Pick a problem of your choice to test

the algorithm, and ensure the problem chosen allows you to demonstrate the following:

$(1)$ Handles when a division by zero is present in the derivative and detects when the solution is

diverging. Provides warnings to the user in the command window.

$(2)$ Allows the user to set the threshold for acceptable error as a percentage between $0\mathrm{.}001\%$ and $2\%.$

$(3)$ Automatically generates a plot to graphically show the progression towards the root on each

iteration.

$(4)$ Enables a relaxation parameter to be set by the user and is implemented in the iterative solution

approach.